The carrier distributions in the conduction and valence bands were noted to peak at energies close to the band edges. (Refer to carrier distribution in Fig. 1–20.) Using Boltzmann approximation, show that the energy at which the carrier distribution peaks is Ec+ kT/2 and E-kT/2 for the conduction and valence bands, respectively.
The carrier distributions in the conduction and valence bands were noted to peak at energies close to the band edges. (Refer to carrier distribution in Fig. 1–20.) Using Boltzmann approximation, show that the energy at which the carrier distribution peaks is Ec+ kT/2 and E-kT/2 for the conduction and valence bands, respectively.
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Transcribed Image Text:Ec
E
EF
Ev
Energy band
diagram
Eg
Electron
Density
of states
E
A D.(E)
D₂(E)
N(E)
EF
E
Occupancy
probability
I
I
0.5
f(E)
1
E
Carrier
distributions
Electrons
Holes
O Hole
FIGURE 1-20 Schematic band diagram, density of states, Fermi-Dirac distribution,
and carrier distributions versus energy.
Transcribed Image Text:The carrier distributions in the conduction and valence bands were noted to peak at
energies close to the band edges. (Refer to carrier distribution in Fig. 1-20.) Using
Boltzmann approximation, show that the energy at which the carrier distribution peaks
is Ec+kT/2 and E-kT/2 for the conduction and valence bands, respectively.
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